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Find attached to the question, a hand drawn diagram of the circle.
Complete Question
Circle O has radius 3. Points M and N lie on circle O, and mMON is 58
degrees. What is the length of arc MN in radians?
Answer:
The length of arc MN in radians is 3.03687 radians.
Step-by-step explanation:
The formula for arc length =
s = rѲ
Where = = Arc length
r = radius
Ѳ = central angle in degree
In the question we were given the following values
r = radius = 3 units
Ѳ = central angle in degree = 58°
We were told to calculate arc length in radians
Therefore, we would convert 58° to radians using the formula
Degree × π/180
= 58 × π /180
= 1.012 radians.
Therefore, Arc length in radians =
S = rѲ
S = 3 × 1.0122909662 radians
= 3.0368728985 radians.
Approximately = 3.03687 radians.
Therefore, the length of arc MN in radians is 3.03687 radians.
